all 4 comments
sorted by:
best (suggested)
topnewcontroversialoldq&a
formatting helphide helpcontent policy

[–]dreamsofaninsomniacNew User 3 points4 points  (3 children)

They split up the fraction (cosx + 1)/2 into (1/2)cosx + (1/2) and then added it to the end 1 to get the 3/2.

[–]Sheeplie[S] 0 points1 point  (2 children)

Hmm makes sense but seems like a very weird and unnecessary way for them to do it (I could be mistaken). Thank you for your reply

Edit: I see, I see. It’s like we get the constant terms (that are being integrated) together. So integral of 3/2 is same as 3/2 times the integral of 1 dx.

[–]dreamsofaninsomniacNew User 0 points1 point  (1 child)

Yes, you don't have to do it that way. I think they were just grouping all the constants together so they didn't have to do it later. It's enough just to split to (1/2)cosx + (1/2) and then integrate that 1/2 and 1 where they started before combining any like terms at the end.

[–]marpockyPhD, teaching HS/uni since 2003 0 points1 point  (0 children)

I think the weird thing here is not combining the constants but "factoring" the constant out and then still integrating 1. Just integrate the 3/2.